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arXiv · 1208.2466

Extremal Rees Algebras

Jooyoun Hong·Aron Simis·Wolmer V. Vasconcelos
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Abstract

We study almost complete intersections ideals whose Rees algebras are extremal in the sense that some of their fundamental metrics---depth or relation type---have maximal or minimal values in the class. The focus is on those ideals that lead to almost Cohen--Macaulay algebras and our treatment is wholly concentrated on the nonlinear relations of the algebras. Several classes of such algebras are presented, some of a combinatorial origin. We offer a different prism to look at these questions with accompanying techniques. The main results are effective methods to calculate the invariants of these algebras.

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Jooyoun Hong, Aron Simis, Wolmer V. Vasconcelos. 2012-08-12. Extremal Rees Algebras. https://arxiv.org/abs/1208.2466

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